sin(x)= 12/15

Lösung

sin (x) = \frac{12}{15}

x = 0.92729 \dots + 2 πn, x = π - 0.92729 \dots + 2 πn

Grad

x = 53.13010 \dots^{\circ} + 36 0^{\circ} n, x = 126.86989 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{12}{15}

Streiche die gemeinsamen Faktoren:

3

sin (x) = \frac{4}{5}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{4}{5}

Allgemeine Lösung für

sin (x) = \frac{4}{5}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{4}{5}) + 2 πn, x = π - arcsin (\frac{4}{5}) + 2 πn

x = arcsin (\frac{4}{5}) + 2 πn, x = π - arcsin (\frac{4}{5}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.92729 \dots + 2 πn, x = π - 0.92729 \dots + 2 πn

cos (2 x) - cos (4 x) = 0

tan (x) (cot (x) - 3) = 0

sin (5 x) + sin (7 x) = 0, - 9 0^{\circ} \leq x < 9 0^{\circ}

- cos (θ) + 1 = 2 sin^{2} (θ)

arcsin (x) = \frac{3 π}{7}